Finding the Third Proportional to 101,457 and 146,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,457 : 146,137.50 = 146,137.50 : x
2. Step 2: Convert to fraction form
   101,457/146,137.50 = 146,137.50/x
3. Step 3: Cross multiply
   101,457x = 146,137.50 × 146,137.50
4. Step 4: Simplify right side
   101,457x = 21,356,168,906.25
5. Step 5: Solve for x
   x = 21,356,168,906.25/101,457
6. Step 6: Final answer
   x = 210,494.78